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Finding the Third Proportional to 338,364 and 735,024

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Solution

The third proportional to 338,364 and 735,024 is: 1,596,683.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,364 : 735,024 = 735,024 : x
  2. Step 2: Convert to fraction form
    338,364/735,024 = 735,024/x
  3. Step 3: Cross multiply
    338,364x = 735,024 × 735,024
  4. Step 4: Simplify right side
    338,364x = 540,260,280,576
  5. Step 5: Solve for x
    x = 540,260,280,576/338,364
  6. Step 6: Final answer
    x = 1,596,683.69

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.